SOLUTION: The height if a right prism is 5 mts and its base is a square. if the area of its whole surface be 48 sq.mts , the its volume wiil be, a. 80cubic.mts b. 10cubic.m

Algebra ->  Volume -> SOLUTION: The height if a right prism is 5 mts and its base is a square. if the area of its whole surface be 48 sq.mts , the its volume wiil be, a. 80cubic.mts b. 10cubic.m      Log On


   



Question 632404: The height if a right prism is 5 mts and its base is a square. if the area of its whole surface be 48 sq.mts , the its volume wiil be,
a. 80cubic.mts b. 10cubic.mts
c. 20cubic.mts d. 144/5cubic.mts

Answer by solver91311(24713) About Me  (Show Source):
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Let represent the measure of one side of the base. The surface area is comprised of 2 bases, each of which has an area of and 4 sides, each of which has an area of , so the total surface area, which we know to be 48 , is described by the following equation:



A little algebra music, Sammy:



Solve the quadratic for the positive root. Use this to calculate the area of the base of your prism. Multiply the area of the base times the given height to find the volume.

John

My calculator said it, I believe it, that settles it
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